Geometry, Topology And Dynamics Of Character Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Topology And Dynamics Of Character Varieties write by William Goldman. This book was released on 2012-06-18. Geometry, Topology And Dynamics Of Character Varieties available in PDF, EPUB and Kindle. This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong lemmas in various contexts, introductions to Lorenzian and complex hyperbolic geometry, and representation varieties of surface groups into PSL(2, ℝ) and other semi-simple Lie groups. This volume will serve as a useful portal to students and researchers in a vibrant and multi-faceted area of mathematics.
Geometry, Topology and Dynamics of Character Varieties
Geometry, Topology and Dynamics of Character Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Topology and Dynamics of Character Varieties write by William Mark Goldman. This book was released on 2012. Geometry, Topology and Dynamics of Character Varieties available in PDF, EPUB and Kindle. This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.
Dynamics, Geometry, Number Theory
Dynamics, Geometry, Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics, Geometry, Number Theory write by David Fisher. This book was released on 2022-02-07. Dynamics, Geometry, Number Theory available in PDF, EPUB and Kindle. "Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--
Algorithmic and Geometric Topics Around Free Groups and Automorphisms
Algorithmic and Geometric Topics Around Free Groups and Automorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithmic and Geometric Topics Around Free Groups and Automorphisms write by Javier Aramayona. This book was released on 2017-11-29. Algorithmic and Geometric Topics Around Free Groups and Automorphisms available in PDF, EPUB and Kindle. This volume presents the lecture notes from the authors’ three summer courses offered during the program “Automorphisms of Free Groups: Geometry, Topology, and Dynamics,” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon’s construction of Thurston’s compactification of Teichmüller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
Flexibility of Group Actions on the Circle
Flexibility of Group Actions on the Circle - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Flexibility of Group Actions on the Circle write by Sang-hyun Kim. This book was released on 2019-01-02. Flexibility of Group Actions on the Circle available in PDF, EPUB and Kindle. In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups. The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary. The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent. This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.
